TY  - BOOK
AU  - Lang,Serge
TI  - Introduction to Arakelov theory
SN  - 9780387967936
U1  - 512 23
PY  - 1988///
CY  - New York
PB  - Springer-Verlag
KW  - Arakelov theory
KW  - Mathematics
KW  - Algebra
N1  - Includes index; Bibliography: p. [179]-182; Chapter I. Metrics and chern forms--
Chapter II. Green's functions on Rlemann surfaces--
Chapter III. Intersections on an arithmetic surface--
Chapter IV. Hodge index theorem and the adjunction formula--
Chapter V. The faltings Riemann-Roch theorem--
Chapter VI. Faltings volumes on cohomology--
Appendix--
References--
Index

N2  - Arakelov introduced a component at infinity in arithmetic considerations giving rise to global theorems in an arithmetic context over the ring of integers of a number field. This book introduces this theory, including the analogues of the Hodge Index Theorem, the Arakelov adjunction formula, and the Faltings Riemann-Roch theorem
ER  -